69/209 added to 4/2 in Fraction Form

The result of 69/209 added to 4/2 is: 2 69/209

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69209 and 42.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 209 and 2 is 418.

Step 3: Convert Fractions to Equivalent Fractions

Convert 69209 to 138418
Convert 42 to 836418

Step 4: Add the Numerators

Add the numerators: 138 + 836 = 974

Step 5: Simplify the Fraction

We can simplify 974418 to its lowest form.
The greatest common divisor (GCD) of 974 and 418 is 2.
Dividing both numerator and denominator by the GCD, we get 487209.

Step 6: Convert to Mixed Number

The fraction 487209 can be written as the mixed number 269209.

Final Answer

The result of 69/209 added to 4/2 is:

69209+42=269209

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (when denominators are the same)

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

Fraction Calculator

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